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x = 7/10

Step-by-step explanation:

9/5 x -2/5 = (8x+3)/10

get a common denominator of 10

9/5 x * 2/2 - 2/5 * 2/2 = (8x+3)/10

18 /10 x - 4/10 = (8x+3)/10

multiply by 10 on each side to clear the fractions

10 *(18 /10 x - 4/10) = 10*(8x+3)/10

distribute

10 *(18 /10 x) -10* 4/10) = 10*(8x+3)/10

18x - 4 = 8x+3

subtract 8x from each side

18x-8x -4 = 8x+3 -8x

10x-4 = 3

add 4 to each side

10x-4+4 = 3+4

10x = 7

divide by 10

10x/10 = 7/10

x = 7/10

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